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The equation for line ss can be written as y=310x+8y = \frac{3}{10}x + 8. Line tt is parallel to line ss and passes through (−7,−2)(-7,-2). What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

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Q. The equation for line ss can be written as y=310x+8y = \frac{3}{10}x + 8. Line tt is parallel to line ss and passes through (−7,−2)(-7,-2). What is the equation of line tt?\newlineWrite the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
  1. Slope Match: Line tt is parallel to line ss. Do their slopes match? Yes, parallel lines have the same slope.
  2. Equation of Line s: Equation of line s: \newliney=310x+8y = \frac{3}{10}x + 8\newlineFind the slope of line s.\newlineCompare y=310x+8y = \frac{3}{10}x + 8 with y=mx+by = mx + b.\newlinem=310m = \frac{3}{10}\newlineSlope of line s: 310\frac{3}{10}
  3. Slope of Line s: Line t is parallel to s.\newlineSlope of line s: 310\frac{3}{10}\newlineFind the slope of line t.\newlineSince line t is parallel to line s, its slope is also 310\frac{3}{10}.\newlineSlope of line t: 310\frac{3}{10}
  4. Slope of Line t: For line t: \newlineSlope mm: 310\frac{3}{10} \newlinePoint: (−7,−2)(-7, -2) \newlinePlug these values in y=mx+by = mx + b and find the y-intercept.\newline−2=310(−7)+b-2 = \frac{3}{10}(-7) + b \newline−2=−2110+b-2 = -\frac{21}{10} + b\newline−2+2110=b-2 + \frac{21}{10} = b\newline−2010+2110=b-\frac{20}{10} + \frac{21}{10} = b\newline110=b\frac{1}{10} = b
  5. Y-Intercept Calculation: For line tt: \newlineSlope (mm): 310\frac{3}{10} \newliney-intercept (bb): 110\frac{1}{10} \newlineWhat is the equation of the line tt in slope-intercept form?\newlineSubstitute 310\frac{3}{10} for mm and 110\frac{1}{10} for bb in mm00. \newlinemm11

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